Titre : [FORTHCOMING] Problème de stabilité presque partout pour les équations fonctionnelles cubiques multidimensionnelles  

Auteurs : Abasalt Bodaghi,  

Revue : Avancées en Mathématiques Pures et Appliquées 

Numéro : Articles à paraître<br> 

Volume :  

Date : 2026/09/21 

DOI : À venir 

ISSN : 1869-6090 

Résumé : This work aims to present a novel fashion of the multi-dimensional cubic functional equations and to investigate its Hyers-Ulam stability in the setting of Banach spaces on the restricted domains under a condition as (C). Moreover, a subset $$$\Omega\subset\mathbb R^d$$$ of Lebesgue measure zero satisfying the mentioned condition is constructed. Lastly, applying this construction and by means of the Baire category theorem, an asymptotic behavior for an approximate solution of the d-dimension cubic functional equations on real numbers, is presented. 

Éditeur : ISTE OpenScience